The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws

• Main Authors: Guodong Wang, Jia-Bao Liu, Lin Zhao
• Format: Article
• Language: English
• Published: SpringerOpen 2017-07-01
• Series: Boundary Value Problems
• Subjects: one-dimensional nonlinear wave system; different gamma laws; Riemann problem; perturbed initial data
• Online Access: http://link.springer.com/article/10.1186/s13661-017-0837-2

Abstract The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws is considered. By the properties of wave curves, we observe that this system does not contain the composite wave compared to the barotropic models of gas dynamics with different pressure laws. Under some initial value data, the Riemann solution is constructed. Using the interaction of the elementary waves, we consider the generalized Riemann problem and discover that the Riemann solution is stable for such perturbation of the initial data.